105129008412480 has 896 divisors, whose sum is σ = 434918998080000. Its totient is φ = 23670524215296.

The previous prime is 105129008412427. The next prime is 105129008412481. The reversal of 105129008412480 is 84214800921501.

105129008412480 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 90 + 0 + 84 + 1 + 2 + 480 = 666.

It is a super-2 number, since 2×105129008412480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105129008412481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61038976 + ... + 62737664.

It is an arithmetic number, because the mean of its divisors is an integer number (485400667500).

Almost surely, 2^{105129008412480} is an apocalyptic number.

105129008412480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105129008412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217459499040000).

105129008412480 is an abundant number, since it is smaller than the sum of its proper divisors (329789989667520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105129008412480 is a wasteful number, since it uses less digits than its factorization.

105129008412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698776 (or 1698760 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 105129008412480 in words is "one hundred five trillion, one hundred twenty-nine billion, eight million, four hundred twelve thousand, four hundred eighty".